The measure of angle ABD is 105º. The measure of angle ABC is 75º.
What is the measure of angle CBD?
A
75°
B
>C
?
D
1>) 170°
1) 30°
1) 25°
1) 180°​

Answer:

1. g(3) = 1

2. (f + g)(2) = f(2) + g(2) = 2 + 3 = 5

3. f(g(4)) = 2

4. g(f(4)) = 1

5. f(f(4)) = 2

6. g(g(2)) = 1

7. base on the chart, the value 3 of g(x) can be gain only for x = 0

Answer:

6ft by 6 ft

Step-by-step explanation:

area of a square =length*width whereas they are supposed to be of the same measurements

Answer:

See below

Step-by-step explanation:

Let me give you an example to help;

[tex]y = 2x + 3[/tex]

This equation is in slope - intercept form, which can be demonstrated through the following notation -

[tex]y = mx + b - Where, m = slope, and, b = y - intercept[/tex]

Now to solve for the x - intercept, we will have to propose y as 0;

[tex]0 = 2x + 3,\\2x = - 3,\\x = - 3 / 2 = - 1 and 1 / 2[/tex]

Thus the x - intercept = - 1 and 1 / 2;

* Note that you can't solve a slope intercept form equation, unless it is a system of equations, and if that is the case just let me know and I can help you out with that *

Answer:

-x⁴

Step-by-step explanation:

x⁵/(-x)= -x⁴

Answer:

A

Step-by-step explanation:

is the answer because x-x = 0

since -2 is left that's the answer!

The answer is 58 degrees.

Answer:

1)The ball hits the ground after 3 seconds.

2)The maximum height of the ball is 49 feet

3)It takes 1.25 seconds to reach its maximum height

Step-by-step explanation:

Height of building = 40 feet

We are given that A ball is thrown straight up from the top of building with an initial speed of 24 feet per second.

So, The height of the ball as a function of time can be modeled by: [tex]h(t)=-16t^2+40t+24[/tex]

1)After how many seconds the ball hit the ground.

Substitute h(t)=0

So,[tex]-16t^2+40t+24=0\\-2t^2+5t+3=0\\2t^2-5t-3=0\\2t^2-6t+t-3=0\\2t(t-3)+1(t-3)=0\\(2t+1)(t-3)=0\\t=\frac{-1}{2} , 3[/tex]

Since time cannot be negative

So,the ball hits the ground after 3 seconds.

2)What is the maximum height of the ball?

It takes maximum height at vertex

Formula : [tex]t = \frac{-b}{2a}[/tex]

[tex]t=\frac{-40}{2(-16)}=1.25 seconds[/tex]

Substitute the value of t in function

[tex]h(1.25)=-16(1.25)^2+40(1.25)+24\\h(1.25)=49 feet[/tex]

So,the maximum height of the ball is 49 feet

3).How long did it take for the ball to reach its maximum height?

It takes 1.25 seconds to reach its maximum height

Answer:

So, the time interval between successive compression from the source is 0.002 seconds.

Step-by-step explanation:

Given that,

Frequency of the tone, f = 500 Hz

It is sitting at a distance of 450 m from the source of sound, d = 450 m

Let t is the time interval between successive compression from the source. We know that the relation between the frequency and the time period is :

[tex]T=\dfrac{1}{f}T=\dfrac{1}{500}\\\\T = 0.002 s[/tex]

Answer:

2

Step-by-step explanation:

check the point where the x is -2

what is its y-value ?

this is 2, right?

it means that f(-2)=2

Answer:

2

Step-by-step explanation:

Answer: she begin with 6.

Step-by-step explanation:

At the beggining she had A books.

She sold half of that, so now she has A/2 books.

She bought 9, so now she has A/2 + 9 books,

And we know that A/2 + 9 = 11 books

So A/2 = 11 - 9 = 3

A = 2*3 = 6

So she started with 6 books

Answer:

She began with 4 books

Step-by-step explanation:

Let the original number of Jessi Comic books be x

When She sold half of the comic books, she has ( x - x/2) = x/2 left

When she bought 9 more, she has 11 in total. That is, x/2 + 9 = 11

x/2 = 11 - 9

x/2 = 2

x = 2 * 2

x = 4

She began with 4 books

Answer:

[tex]\frac{a}{1 +bc} = x[/tex]

Step-by-step explanation:

In this question, it appears that you need to solve this equation in terms of x.

Beginning with the equation a = x(1 + bc), we must isolate the 'x' variable and make an equation equivalent to 'x'. This can be done by:

a = x(1 + bc)

Divide (1 + bc) from both sides, giving you:

[tex]\frac{a}{1 +bc} = x[/tex]

Answer:

the last one

Step-by-step explanation:

Answer:

Step-by-step explanation:

given any quadratic equation ([tex]5x^2 - 20x = -15[/tex])

the steps to follow accordingly are

Answer:

The answer is Divide all terms by 5.

Step-by-step explanation:

I got it right on my test

Answer:

0.7

Step-by-step explanation:

follow the steps........

Answer:

0.7

Step-by-step explanation:

Got it right on edge

Answer:

a.

Step-by-step explanation:

It is not a negative so it can’t be c or d I think it is a

Answer:b

Step-by-step explanation:

Answer:

33.7°

Step-by-step explanation:

The smallest angle -> opposite of the smallest side

Smallest side = 10yards

Calling this angle a

we have 10^2 = 15^2 +18^2 -2*15*18*cosa

-> cos a=0.83

cos^-1(a)=0.83 -> a =33.7 degree

Answer:

The size of the population of red squirrels in the UK at the start of 2010 is 3772

Step-by-step explanation:

At the start of 2016 , No. of squirrels = 10000

The rate of decrease is 15% per year.

So, No. of squirrels after x years = [tex]10000(1-0.15)^x[/tex]

We are supposed to find the size of the population of red squirrels in the UK at the start of 2010.

So,No. of squirrels after 6 years = [tex]10000(1-0.15)^6=3771.49[/tex]

Hence the size of the population of red squirrels in the UK at the start of 2010 is 3772

Answer:

Step-by-step explanation:

The population in 2016 is 10,000 but we re trying to find the population in 2010.

Let the start population be P.

Then P*(1-0.15)^6 = 10000

P*(0.85)^6 = 10000

P = 10000 / (0.85)^6

P = 26514.6834

In 2010 :

P = 26500 to 3 significant figures

Answer:

$137.82

Step-by-step explanation:

The volume of a hemisphere stone is given by the volume of a half-sphere:

Volume = (2/3) * pi * radius^3

If the diameter is 16 inches, the radius is 16/2 = 8 inches, so the volume is:

Volume = (2/3) * pi * 8^3 = 1072.33 in3

We need a total of 8 stones, so the total volume is:

Total Volume = 8 * 1072.33 = 8578.64 in3

The density of clay is 0.0035 pounds per cubic inch, so the total weight of the 8 stones is:

Weight = Total Volume * density = 8578.63 * 0.0035 = 30.0252 pounds

Finally, if the price of each pound of clay if $4,59, the final price is:

Price = 30.0252 * 4.59 = $137.82

Answer:

24 cubic inches.

Step-by-step explanation:

[tex]2a \times a^{2} +a^{3} \\2a^{3} +a^{3}[/tex]

[tex]3a^3\\3(2)^3\\3 \times 8[/tex]

Answer:

-8/27

Step-by-step explanation:

Convert 2 1/4 into a improper fraction: 9/4

Rewrite the equation: -2/3 divided by 9/4

To divide fraction, multiply by the reciprocal of that fraction

Reciprocal of 9/4: 9/4

Multiply the fractions: -2/3 times 4/9

=-8/27

Answer:

-8/27

Step-by-step explanation:

-(2/3) ÷ (2 1/4 )   (convert 2 1/4 into improper fraction)

= -(2/3) ÷ (9/4)  (convert ÷ to x by taking the reciprocal of 9/4)

= -(2/3) x (4/9)

= -(2 x 4) / (3 x 9)

= -8/27

Answer:

25

Step-by-step explanation:

The value of the variable 'x' will be 85. Then the correct option is A.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The equation is given below.

x + 40 + 55 = 180

Simplify the equation, then the value of 'x' is given as,

x + 40 + 55 = 180

x + 95 = 180

x = 180 - 95

x = 85

The value of the variable 'x' will be 85. Then the correct option is A.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ2

The missing diagram is given below.

Answer:

Remember that £ has a greater value compared to $ and vice versa.

Answer:

20 kilograms of dough

Step-by-step explanation:

Given that;

12 kilograms working 6 hours

Rate = 12/6 kilogram per hour = 2 kilogram per hour

So,

In 10 hours he would produce;

Amount of dough = Time × rate

Time = 10 hours

= 10 hours × 2 kilograms per hour

= 20 kilograms of dough

Answer:

20 kilograms of dough

Step-by-step explanation:

Given;

12 kilograms of dough for 6 hours

how many of this will be produced in 10 hours ?

= (12 x 10) / 6

= 20 kilograms of dough

=

Answer:

6

Step-by-step explanation:

Because my lucky num is 6

Answer: 7

Step-by-step explanation:because it is one of my favorite integers

i belive its b

ANSWER

Answer:

(cos^2(x)-1) cot (-x); last expression.

Step-by-step explanation:

You'll first need to simplify the given expression. Then look at each option. To find out whether or not two expressions are equivalent see if they have the same value irrespective of the value of the variables in them.

1) (1-cos^2(x)) cot (-x) is equivalent

2) (cos^2(x)-1) cot(x) is equivalent

3) (sin62(x)-10 tan (x) is equivalent

4) (cos^2(x)-1) cot (-x) is not equivalent.

Answer:

At the time of launch height of the object was 60 meters.

Step-by-step explanation:

An object was launched from a platform and its height was modeled by the function,

h(x) = -5x² + 20x + 60

Where x = time or duration after the launch

At the time of launch, x = 0

So, by putting x = 0 in this equation,

h(0) = -5×(0) + 20×(0) + 60

h(0) = 60

Therefore, at the time of launch height of the object was 60 meters.